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Simplifying -6a + -1[4 + -1(3 + -2a)] = 5a + 6 -6a + -1[4 + (3 * -1 + -2a * -1)] = 5a + 6 -6a + -1[4 + (-3 + 2a)] = 5a + 6 Combine like terms: 4 + -3 = 1 -6a + -1[1 + 2a] = 5a + 6 -6a + [1 * -1 + 2a * -1] = 5a + 6 -6a + [-1 + -2a] = 5a + 6 Reorder the terms: -1 + -6a + -2a = 5a + 6 Combine like terms: -6a + -2a = -8a -1 + -8a = 5a + 6 Reorder the terms: -1 + -8a = 6 + 5a Solving -1 + -8a = 6 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -1 + -8a + -5a = 6 + 5a + -5a Combine like terms: -8a + -5a = -13a -1 + -13a = 6 + 5a + -5a Combine like terms: 5a + -5a = 0 -1 + -13a = 6 + 0 -1 + -13a = 6 Add '1' to each side of the equation. -1 + 1 + -13a = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -13a = 6 + 1 -13a = 6 + 1 Combine like terms: 6 + 1 = 7 -13a = 7 Divide each side by '-13'. a = -0.5384615385 Simplifying a = -0.5384615385
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